GCF of 7913/458, 6941/8160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7913/458, 6941/8160 i.e 1/1868640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7913/458, 6941/8160.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7913/458,6941/8160?
Given fractions are 7913/458,6941/8160
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7913/458,6941/8160, numerators are 7913,6941
Denominators are 458,8160
The GCF of 7913,6941 is 1 .
LCM of 458,8160 is 1868640.
The greatest common factor of 7913/458,6941/8160 = [GCF of 7913,6941]/[LCM of 458,8160]= 1/1868640
Therefore, the GCF of 7913/458,6941/8160 is 1/1868640.
To find the highest common factor of 7913,6941, we have to find the factors of both numbers and list the highest common factor.
The factors of 7913 are 1, 41, 193, 7913
The factors of 6941 are 1, 11, 631, 6941
The HCF of 7913,6941 is 1.
Lets's calculate GCF of 7913,6941
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7913,6941 By Matching Biggest Common Factor Method
Now, list down the factors of 7913
:1,41,193,7913
Now, list down the factors of 6941
:1,11,631,6941
Greatest Common Factor
We found the factors 7913,6941 . The biggest common factor number is the GCF number.
So the greatest common factor 7913,6941 is 1.
Lets's calculate LCM of 458,8160
| 2 | 458, 8160 |
| 229, 4080 |
∴ So the LCM of the given numbers is 2 x 229 x 4080 = 1868640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1868640
Therefore, the GCF of Fractions 7913/458,6941/8160 is 1/1868640
Least Common Multiple of 458,8160 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 458,8160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,8160) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,8160) x common factors =2 x 1 = 2
LCM(458,8160) = ( 458 × 8160 ) / 2
LCM(458,8160) = 3737280 / 2
LCM(458,8160) = 1868640
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7913/458, 6941/8160
1. What is the HCF of 7913,6941?
The HCF of 7913,6941 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7913/458, 6941/8160?
Answer: GCF of Numerators as per given numbers 7913/458, 6941/8160 is
GCF of Numerators i.e. for 7913,6941 is 1
LCM of denominators i.e. for 458,8160 is 1868640.
Thus, GCF of Fractions is 1/1868640.Finally, GCF of Fractions for 7913/458, 6941/8160 is 1/1868640.